Layer-level activation mechanism

In this work, we propose a novel activation mechanism aimed at establishing layer-level activation (LayerAct) functions. These functions are designed to be more noise-robust compared to traditional element-level activation functions by reducing the layer-level fluctuation of the activation outputs due to shift in inputs. Moreover, the LayerAct functions achieve a zero-like mean activation output without restricting the activation output space. We present an analysis and experiments demonstrating that LayerAct functions exhibit superior noise-robustness compared to element-level activation functions, and empirically show that these functions have a zero-like mean activation. Experimental results on three benchmark image classification tasks show that LayerAct functions excel in handling noisy image datasets, outperforming element-level activation functions, while the performance on clean datasets is also superior in most cases.